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493317 = 33112151
BaseRepresentation
bin1111000011100000101
3221001201000
41320130011
5111241232
614323513
74123146
oct1703405
9831630
10493317
11307700
121b9599
13143706
14cbacd
159b27c
hex78705

493317 has 24 divisors (see below), whose sum is σ = 808640. Its totient is φ = 297000.

The previous prime is 493313. The next prime is 493333. The reversal of 493317 is 713394.

It is not a de Polignac number, because 493317 - 22 = 493313 is a prime.

It is a super-3 number, since 3×4933173 = 360163335762258039, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3192 + ... + 3342.

2493317 is an apocalyptic number.

It is an amenable number.

493317 is a deficient number, since it is larger than the sum of its proper divisors (315323).

493317 is a wasteful number, since it uses less digits than its factorization.

493317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 493317 is about 702.3652895752. The cubic root of 493317 is about 79.0148452580.

It can be divided in two parts, 4933 and 17, that added together give a triangular number (4950 = T99).

The spelling of 493317 in words is "four hundred ninety-three thousand, three hundred seventeen".

Divisors: 1 3 9 11 27 33 99 121 151 297 363 453 1089 1359 1661 3267 4077 4983 14949 18271 44847 54813 164439 493317